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Simplifying 6d + 78 = 18d + -5 Reorder the terms: 78 + 6d = 18d + -5 Reorder the terms: 78 + 6d = -5 + 18d Solving 78 + 6d = -5 + 18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18d' to each side of the equation. 78 + 6d + -18d = -5 + 18d + -18d Combine like terms: 6d + -18d = -12d 78 + -12d = -5 + 18d + -18d Combine like terms: 18d + -18d = 0 78 + -12d = -5 + 0 78 + -12d = -5 Add '-78' to each side of the equation. 78 + -78 + -12d = -5 + -78 Combine like terms: 78 + -78 = 0 0 + -12d = -5 + -78 -12d = -5 + -78 Combine like terms: -5 + -78 = -83 -12d = -83 Divide each side by '-12'. d = 6.916666667 Simplifying d = 6.916666667
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